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The ratio of the radii of two spheres is 2:5. The volume of the smaller sphere is 192 in3. What is the volume of the larger sphere?

Respuesta :

mreijepatmat
R=2/5 . Hence R^3 = 8/125 (Ratio of their volume
 (V1)/(V2) = 8/125 if V1=192 then 192/(V2) = 8/125

V2 = (192x125)/8
V2 = 3,000 in^3

The volume of the bigger sphere will be around 3000 inches³.

What is the sphere?

A sphere is a 3D geometrical object which has a radius and becomes a point that revolves around a fixed point called the center.

If you have a sphere of radius r then its surface area will be 4πr² and volume will be (4/3)πr³.

Volume of an sphere is directly proportion with radius cube

So,

V₂/V₁ = (R₂/R₁)³

Given,

R₁/R₂ = 2/5

V₁ = 192

V₂ = 192 × (5/2)³

V₂ = 3000 inches³.

Hence the volume of the bigger sphere will be 3000 inches³.

For more about a sphere

https://brainly.com/question/9994313

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